Question 616616
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.
f(x) = 8x^3 - 10x^2 + 3x + 5
f(-1) = -8 - 10 - 3 + 5 = -16
f(0) = 5
Note: the continuous function value changes from negative to positive in the given interval:
function will have a zero in that interval
{{{drawing(300,300,   -6,6,-20,20,  grid(1),
circle(-1, -16,0.2),
circle(0, 5,0.2),
graph( 300, 300, -6,6,-20,20,0,8x^3 - 10x^2 + 3x + 5))}}}